Study of thee+e−→π+π−π0process using initial state radiation withBABAR

The process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0\gamma$ has been studied at a center-of-mass energy near the ${\rm Y}(4S)$ resonance using a $89.3{\mathrm{f}\mathrm{b}}^{-1}$ data sample collected with the BABAR detector at the PEP-II collider. From the measured $3\pi$ mass spectrum we have obtained the products of branching fractions for the $\omega$ and $\varphi$ mesons, $\mathcal{B}(\omega \to e^{+}{e}^{-})\mathcal{B}(\omega \to 3\pi )=(6.70\pm 0.06\pm 0.27)\times {10}^{-5}$ and $\mathcal{B}(\varphi \to e^{+}{e}^{-})\mathcal{B}(\varphi \to 3\pi )=(4.30\pm 0.08\pm 0.21)\times {10}^{-5}$ and evaluated the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ cross section for the $e^{+}{e}^{-}$ center-of-mass energy range 1.05 to 3.00 GeV. About 900 $e^{+}{e}^{-}\to J/\psi \gamma \to {\pi }^{+}{\pi }^{-}{\pi }^0\gamma$ events have been selected and the branching fraction $\mathcal{B}(J/\psi \to {\pi }^{+}{\pi }^{-}{\pi }^0)=(2.18\pm 0.19)\%$ has been measured.